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Aliases
Subgroups
414 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 127 points:
(1,2)(3,7)(4,6)(5,8)(9,10)(11,14)(12,20)(13,17)(15,21)(16,19)(18,24)(22,23)(25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127);(1,3)(2,5)(4,8)(6,7)(9,11,13,19)(10,14,17,16)(12,21,22,18)(15,23,24,20);(3,8)(5,7)(9,12,13,22)(10,15,17,24)(11,18,19,21)(14,20,16,23);(2,6)(5,7)
Conjugacy classes & character table
2678 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 1928);
Finite Group Databasebeta